Title of article :
Characterization of projective general linear groups
Author/Authors :
Khalili Asboei، Alireza نويسنده Department of Mathematics,Farhangian University,Mazandaran,Iran ,
Issue Information :
فصلنامه با شماره پیاپی سال 2016
Abstract :
Let G be a finite group and πe(G) be the set of element orders of G. Let k∈πe(G) and sksk be the number of elements of order kk in G. Set nse(G):={sk|k∈πe(G)} . In this paper, it is proved if |G|=| PGL2(q) |, where q is odd prime power and nse(G)=nse((PGL2(q)), then G≅PGL2(q).
Keywords :
Element order , set of the numbers of elements of the same order , projective general linear group.
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory
